Device

Software

TI-Nspire Version

Activity Overview

This lesson involves binomial trials, distributions, and probabilities. Students can create the tns file following the steps in Binomial_Pdf_Create_Eye_Color, or they can use the premade file Binomial_Pdf_Eye_Color.tns

Objectives

Students will identify a situation involving binomial trials.

Students will observe that a binomial distribution is a function of both sample size and the probability of a success.

Students will interpret a table of binomial probabilities.

Student will answer probability questions using the graph of a binomial model for a random variable involving binomial trials.

Vocabulary

binomial distribution

expected value

probability

About the Lesson

This lesson involves binomial trials, distributions, and probabilities. Students can create the tns file following the steps in Binomial_Pdf_Create_Eye_Color, or they can use the premade file Binomial_Pdf_Eye_Color.tns
As a result, students will:

For a binomial distribution with a given sample size and probability of success

find the probability of specific outcomes from a spreadsheet of values.

find the probability of specific outcomes from the graph.

Find the probability of mutually exclusive events from a graph or spreadsheet.

Change the sample size and the probability of a success and find the probability of specific outcomes.

Analyze how the probabilities change as the sample size increases and as the probability of a success increases.